Questions on creating visualizations from functions or data using high-level constructors such as Plot, ListPlot, Histogram, etc.

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9
votes
4answers
500 views

Dual-Grid Graph Paper With Mathematica?

Is there a slick way to generate the dual-grid graphs such as you can see on pages 7, 9, and 10 of this article, or this one? I've searched, but found nothing. Thanks in advance...
1
vote
2answers
131 views

How to take input from user?

Since I'm new to Mathematica I want to have a Notebook which takes inputs from user and returns average of the inputs entered and plots it on x-y coordinate. How can I do this?
2
votes
2answers
347 views

Plotting several numerical solutions plus the analytic solution of ODE in one plot

I want to be able to plot several numerical solutions of an ODE plus its analytical solution in one plot in order to see how the numerical solutions converge towards the analytical one w.r.t. the ...
1
vote
1answer
659 views

How to scale vectors in VectorPlot?

I generated some pics from 2 datum,one in $x$ direction and the other in $y$,so I used the commands: ...
2
votes
2answers
1k views

How to change the base of logarithmic-scale plots?

Mathematica provides a score of convenient functions to make plots with various logarithmic scale axes, for instance I am using ListLogLinearPlot to have a discrete ...
1
vote
2answers
534 views

Manipulating PlotRange

Currently, I am working with some dynamic simulations of mechanical/electrical systems (in this case a kitchen scale). The main simulation is running smoothly but while building a nice GUI around the ...
1
vote
2answers
109 views

How can I define an option “packet” for plots so I can only alter the definition and all plots with that “packet” will change appearance? [duplicate]

Possible Duplicate: Consistent Plot Styles across multiple MMA files and data sets So, here's my problem; I have a lot of data that is shown in different plots. I want all the plots to have ...
37
votes
1answer
1k views

Constructing election cartograms?

I found this pretty neat page showing cartograms for the US elections and I don't really know how to get started doing these graphics in Mathematica. For those who don't know, a cartogram is a map in ...
1
vote
1answer
257 views

Table not working with Plot

Because NIntegrate[] does not support parallel computation out of the box, I'm doing a simplified version by breaking the integration limit into pieces and using ...
7
votes
1answer
225 views

Overlay of pdf using PairedHistogram in Mathematica

With a standard 1D histogram, I can generate a pdf overlay using Show and Plot. I'd like to do something similar with ...
4
votes
2answers
754 views

How do I switch between dashed and undashed styles in ParametricPlot?

I am trying to generate a parametric plot in Mathematica 8 using the following: ...
0
votes
0answers
83 views

Width of two plots [duplicate]

Possible Duplicate: Vertically aligning two separate plots Trying to illustrate the sums of functions, high school math class... Found a great demonstration on interference patterns, so ...
2
votes
1answer
256 views

White regions in DensityPlot — is this a bug with ColorFunctionScaling?

Is this a bug with ColorFunctionScaling? When I try to supply my own ColorFunction Mathematica seems to partially ignore it, ...
3
votes
1answer
283 views

Plotting reordered clusters with different colors and joined lines

I would like to show how typical days of energy load (found through clustering of a years worth of data) are spread throughout a year in a single graph with a color for each 'typical day' (or ...
6
votes
6answers
2k views

Getting a list of accurate coordinates from a plot

I have encountered this problem of getting a list of accurate coordinates from a plot. Upon searching online, the best method of doing so is to right-click on the plot and select "Get Coordinates". ...
2
votes
1answer
155 views

BoxWhiskerChart - Displaying Frameticks Bottom and Top

Is there an easy way to display Automatically the Frameticks at the bottom and top in a BoxWhiskerChart? Currently it is only showing the numbers at the bottom. ...
9
votes
4answers
1k views

How do I plot the unit normal field for a surface?

The question is pretty much in the title; I'm about to teach my multivariable calculus students about orientations on surfaces, and I would like to be able to show them pictures. Any ideas?
20
votes
2answers
823 views

Plotting an Unreasonable Function

Without getting into too much detail, the following (very complicated) function recently appeared as a solution to a combinatorics problem I've been thinking about: $$P(n) = \frac{52!}{52^{52}} \cdot ...
13
votes
3answers
9k views

Plotting a Phase Portrait

I'm trying to plot a phase portrait for the differential equation $$x'' - (1 - x^2) x' + x = 0.5 \cos(1.1 t)\,.$$ The primes are derivatives with respect to $t$. I've reduced this second order ODE to ...
1
vote
0answers
528 views

Calculating the mean curvature of a surface - suggestions

I am attempting to calculate the mean curvature [1, 2] of a surface defined by a function of x and y. My function is rather ...
28
votes
3answers
777 views

No warning when extrapolating with Plot

One of the most annoying "features" of Mathematica is that the Plot family does extrapolation on InterpolatingFunctions without ...
1
vote
2answers
366 views

Plot a 3D graph while changing the range of the parameter

I wish to plot the graph of a surface while being able to change a parameter. My current code is ...
5
votes
2answers
213 views

Reproducing Derive's plot of $1 - x^2 - y^2$ in Mathematica

In Derive 6, if I plot $1 - x^2 - y^2 $, I get this: However in Mathematica 8 I get this: I'm using Plot3D[1 - x^2 - y^2,{x,-5,5},{y,-5,5}] What should I do ...
2
votes
1answer
172 views

Why is the test in my ColorFunction not behaving as expected?

In my code I have a ColorFunction that is meant to highlight all values of $f(x)$ that are greater than $x$ ...
2
votes
2answers
366 views

Using DateListPlot and Plot

I'm trying to do an example of trig modelling. Very simple, but hoping to use real data. I can get weather data for where I live here, and it makes a pretty reasonable sinusoid ...
1
vote
2answers
3k views

How to Plot an Infinite Series

I want to sketch the graphs of $$u(t,x)=\frac{1}{2}+\sum_{n\geq 1} \frac{1}{n\pi} ((-1)^n-1)e^{-n^2t}\sin(nx)$$ for $t=0, 0.01, 0.1, 0.5, 1, 10$ on the same axes. For $t=0$, I input ...
2
votes
1answer
178 views

Plotting a dot product

From a conic equation obtained from a dot product, I want to plot its 2D graph, while being able to manipulate the variable. ...
10
votes
2answers
350 views

How can I prevent ColorFunction from disabling antialiasing in graphics?

When I use ColorFunction, the appearance of my plots is ruined, changing from this which has the normal smooth lines and antialiased fonts, to this in which ...
3
votes
2answers
940 views

How to assign different colors to list plotted in ParametricPlot? [duplicate]

Possible Duplicate: Difference in Plot when using Evaluate vs when not using Evaluate I am plotting galaxies and I would like to color them according to their redshift values using a ...
1
vote
3answers
1k views

How do I plot x[t] vs. x'[t] (where x[t] and x'[t] are solutions to NDSolve)?

I have a differential equation which I solved using NDSolve. I can easily plot x[t] vs. t, x'[t] vs. t, but.... how do I plot x[t] vs. x'[t]? I tried using the Evaluate function to simplify things, ...
19
votes
2answers
1k views

Joining and interpolating data points

I wonder what is the best practice for interpolating curves? Usually I'm using BSplineCurve and adjusting SplineWeights so it ...
6
votes
1answer
343 views

Inconsistency in Histogram's “Probability” Binsize

Context Let me define a Probability distribution (following the documentation and with some connection to this question) ...
14
votes
2answers
662 views

How can I create facetted histograms?

I love Mathematica, and I would love to be able to use it for all of my data analysis tasks, but there is one type of analysis which I find almost trivial in R, and I have no idea how to approach in ...
12
votes
1answer
617 views

Plotting graphics as ASCII plots

I'm occasionally in a situation where I have to use Mathematica on the terminal. I'd like to visualize the solutions I get from NDSolve, but when I use ...
3
votes
1answer
373 views

How to make vertical frame label read top down

In Mathematica, default frame label will put labels at the bottom and the left. The label on the left reads from the bottom to the top. I would like to also put label on the right of the frame, but ...
5
votes
2answers
275 views

Median marker style in BoxWhiskerChart

I was trying to adapt the BoxWhiskerChart to obtain a minimalistic quartile plot, like this: What I obtained is the plot below that is, however, unsatisfying; ...
1
vote
1answer
360 views

How to plot population growth model?

How would I draw the graph of a function dy/dt=((Ry^2)/T)-Ry in Mathematica? I have tried a few times but the constants are confusing me.
11
votes
3answers
475 views

Labeling plots without evaluation

This is my first question here so please excuse my mistakes. Let us consider a rather contrived example: ...
7
votes
3answers
2k views

Given a Table of Plots with some parameter, how would I mark each of the plots with that parameter

I've got a two variable function that I'm plotting against one axis for a few different values of a parameter ...
4
votes
1answer
276 views

Plotting an inequality with “plot” axis

Whenever I try to plot an inequality with "RegionPlot", all my plots come out in boxed frames. Is there a way to plot inequalities where I get my standard x and y axes crossing each other? For ...
6
votes
3answers
388 views

Plotting $\omega(k_x, k_z)$ in $(\omega, k)$ plane with assumption of $k^2 = k_x^2 + k_z^2$

I'm currently studying atmospheric-gravity waves and their dispersion relations. For analysis I need to plot the dispersion function: \begin{equation} \omega^4 - \omega^2\cdot C_s^2(k_x^2 + ...
6
votes
2answers
362 views

Plotting All Possible Points Belonging to a Group Orbit

Given that $$X = \{(x,y,z) \in \mathbb{R}^3 |\, x^2 + y^2 + z^2 - 2(xy + xz + yz) = k\}\,,$$ where $k$ is a constant. Also given that a group $G$ is represented by $$\langle g_1,g_2,g_3|\, g_1^2 = ...
2
votes
1answer
781 views

Visualize eigenvectors at specified points?

I am very new to Mathematica and I got stuck about visualizing eigenvectors 2D and 3D. I want to visualize my largest eigenvector field of tensor data(15x15). I wrote this code for instance : ...
1
vote
1answer
300 views

Lines with label in Plot options syntax

I wrote a little function to add lines with labels to plots. It just creates customized {GridLines -> ..., Epilog -> ...} code: ...
4
votes
1answer
248 views

Use single ListPlot for multiple sets of data (on separate graphs)

This is the code I have working for a single set of data. Is there a way I can structure this to have multiple sets of data? ...
0
votes
2answers
166 views

Time varying equation plot [duplicate]

Possible Duplicate: How do I use Map for a function with two arguments? I have a function, e.g. $T(x,t) = \exp(-t)\sin(x)$ and I want to plot, on the same, or different graphs, $T$ as a ...
3
votes
2answers
719 views

Trying to generate a list of data to plot a graph with error bars. Need help creating the looping function

This is the sets of data I want to put into a form which will allow me to plot error bars from the min and max data. ...
2
votes
2answers
505 views

How to draw a 2D curve as epilog on a 3D surface plot?

I'd like to draw Plot[Re@Sin[x+I*2], {x, -10, 10}] as an epilog on Plot3D[Re@Sin[x + I*y], {x, -10, 10}, {y, -10, 10}] and ...
2
votes
1answer
441 views

How do I plot a system with gain, first-order lag and time delay?

I want to plot the output response of a system with gain, first-order lag and time delay, where the transfer function is tf = 2 Exp[-0.1 s]/(.1 + s) To plot a ...
12
votes
2answers
989 views

Using a ListDensityPlot to map color onto a ListPlot3D graph

I have a 3 column list of data points. The first two columns correspond to x and y coordinates, with data points creating a surface in the z direction from column 3. This gives me a nice wavy ...